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Finding the Fourth Proportional to 82,221.62, 113,465.41 and 44,495.87

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Solution

The fourth proportional to 82,221.62, 113,465.41 and 44,495.87 is: 61,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.62 : 113,465.41 = 44,495.87 : x
  2. Step 2: Convert to fraction form
    82,221.62/113,465.41 = 44,495.87/x
  3. Step 3: Cross multiply
    82,221.62x = 113,465.41 × 44,495.87
  4. Step 4: Simplify right side
    82,221.62x = 5,048,742,132.86
  5. Step 5: Solve for x
    x = 5,048,742,132.86/82,221.62
  6. Step 6: Final answer
    x = 61,404.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.